Step-by-step explanation:
Area of Figure
= Area of Parallelogram + Area of Semicircle
= (26)(13) + 0.5π(24/2)²
= 338 + 72π
= 564.2.
Answer:
They can be seated in 120 differents ways.
Step-by-step explanation:
Taking into account that there are 3 couples and every couple has an specific way to sit, for simplify the exercise, every couple is going to act like 1 option and it's going to occupy 1 Place. If this happens we just need to organize 5 options (3 couples and 2 singles) in 5 Places (3 for a couple and 2 for the singles)
It means that now there are just 5 Places in the row and 5 options to organized. So the number of ways can be calculated using a rule of multiplication as:
<u> 5 </u>*<u> 4 </u>* <u> 3 </u> * <u> 2 </u> * <u> 1 </u> = 120
1st place 2nd Place 3rd place 4th Place 5th Place
Because we have 5 options for the 1st Place, the three couples and the 2 singles. Then, 4 options for the second Place, 3 options for the third place, 2 for the fourth place and 1 option for the 5th place.
Finally, they can be seated in 120 differents ways.
Answer:
- Asafa ran at a faster rate
Step-by-step explanation:
<u>Asafa's speed:</u>
- 0.75 km/ 6 min = 750 m/ 6 min = 125 m/min
<u>Jemaine's speed:</u>
- 3000 m / 30 min = 100 m/min
Asafa ran at faster rate as 125 m/min > 100 m/min
Answer:
B and C
(I'm not sure if b and e are supposed to be the same though) if they are then, b, c, and e
